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139508100 = 223252155009
BaseRepresentation
bin10000101000010…
…11100110000100
3100201111202010200
420110023212010
5241203224400
621502050500
73312541104
oct1024134604
9321452120
10139508100
1171826556
123a879a30
1322b97494
1414757204
15c3aab00
hex850b984

139508100 has 54 divisors (see below), whose sum is σ = 437283210. Its totient is φ = 37201920.

The previous prime is 139508053. The next prime is 139508101. The reversal of 139508100 is 1805931.

It can be written as a sum of positive squares in 3 ways, for example, as 19079424 + 120428676 = 4368^2 + 10974^2 .

It is a super-3 number, since 3×1395081003 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (139508101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 76605 + ... + 78404.

Almost surely, 2139508100 is an apocalyptic number.

139508100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

139508100 is an abundant number, since it is smaller than the sum of its proper divisors (297775110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

139508100 is a wasteful number, since it uses less digits than its factorization.

139508100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155029 (or 155019 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 139508100 is about 11811.3547063832. The cubic root of 139508100 is about 518.6405565798.

The spelling of 139508100 in words is "one hundred thirty-nine million, five hundred eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 155009 310018 465027 620036 775045 930054 1395081 1550090 1860108 2325135 2790162 3100180 3875225 4650270 5580324 6975405 7750450 9300540 11625675 13950810 15500900 23251350 27901620 34877025 46502700 69754050 139508100